2007, 2007(Special): 373-381. doi: 10.3934/proc.2007.2007.373

Existence of positive solutions for second order differential equations arising from chemical reactor theory

1. 

Computer Science and Mathematics, Trent University, Peterborough, ON Canada K9J 7B8

2. 

School of Science, Tianjin University of Commerce, Tianjin 300134, P. R., China

3. 

Department of Mathematics, Qingdao Technological University, No. 11 Fushun Road, Qingdao 266033, P. R., China

Received  September 2006 Revised  March 2007 Published  September 2007

In this paper, we study second-order differential equations that represent the steady state model in an adiabatic tubular chemical reactor. Theoretical results on existence and range of positive solutions are proved by applying a fixed point theorem. At the mean time, numerical solutions are obtained by computer programming. Results from mathematical analysis are compared with the numerical solutions.
Citation: Wenying Feng, Guang Zhang, Yikang Chai. Existence of positive solutions for second order differential equations arising from chemical reactor theory. Conference Publications, 2007, 2007 (Special) : 373-381. doi: 10.3934/proc.2007.2007.373
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